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Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2017, Number 6, Pages 55–59 (Mi vmumm111)  

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Sturmian words and uncountable set of almost nilpotent varieties of quadratic growth

S. P. Mishchenko, N. P. Panov

Ulyanovsk State University, Faculty of Mathematics and Information Technologies

Abstract: For any infinite Sturmian word we define an almost nilpotent variety of quadratic growth. Thus, an uncountable set of different almost nilpotent varieties is constructed.

Key words: variety of linear algebras, identity, nilpotency, growth of the codimensions.

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English version:
Moscow University Mathematics Bulletin, 2017, 72:6, 251–254

Bibliographic databases:

UDC: 512.55
Received: 01.03.2017

Citation: S. P. Mishchenko, N. P. Panov, “Sturmian words and uncountable set of almost nilpotent varieties of quadratic growth”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2017, no. 6, 55–59; Moscow University Mathematics Bulletin, 72:6 (2017), 251–254

Citation in format AMSBIB
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\yr 2017
\issue 6
\pages 55--59
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\pages 251--254
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